PMT Signal Attenuation and Baryon Number Violation Background Studies By: Nadine Ayoub Nevis Laboratories, Columbia University August 5, 2011 1
The Standard Model The Standard Model is comprised of Fermions and Bosons. The Fermions are further grouped into Quarks and Leptons. The Leptons of interest to us are the 3 neutrinos. 2
Neutrinos in the Standard Model Neutrinos only interact via the weak force. This interaction is mediated by the exchange of W and Z bosons. W Bosons for Charged Current interactions. Z Bosons for Neutral Current interactions. According to the Standard Model: Neutrinos mass = 0. Only left-handed neutrinos exist. Mass states = flavor states. Neutrinos cannot change flavor. Reality: Neutrinos have mass. (Very tiny ones.) Mass states Flavor States. Neutrinos can change flavor. 3
Neutrino Oscillations: History The sun s reactions produce ν e s. The flux can be predicted and then calculated for confirmation through experimentation. Studies have shown that the flux at the sun flux at the detector. Solution: The missing neutrinos were ones of a different flavor. ν μ s to be specific. Conclusion: Neutrinos can in fact oscillate. The range of travel must be of a significant length for this to occur. 4
Neutrino Oscillations: The Mixing Matrix ν e ν μ ντ = U e1 U e2 U e3 U μ1 U μ2 U μ3 U τ1 U τ2 U τ3 ν 1 ν 2 ν 3 U = cos θ 12 sin θ 12 0 sin θ 12 cos θ 12 0 0 0 1 cos θ 13 0 e iδ CP sin θ 13 0 1 0 e iδ CP sin θ 13 0 cos θ 13 1 0 0 0 cos θ 23 sin θ 23 0 sin θ 23 cos θ 23 The solar mixing angle: θ 12 33 The currently unknown mixing angle: θ 13 =??? δ =??? The atmospheric mixing angle: θ 23 45 5
Neutrino Oscillations: Mass Hierarchy ν 1, ν 2, ν 3 = Mass eigenstates. The Oscillation probability is given by: P αβ t = sin 2 2θ sin 1.27 α, β = Neutrino flavor Δm 2 = m i 2 m j 2 θ is the mixing angle. L E Δm 2 Determines the strength of the oscillation. L is the length of travel. E is the energy. 6
MiniBooNE Low Energy Excess Experiment: MiniBooNE ran with a ν μ beam to look for ν μ ν e oscillations. Observation: Unexpected excess of events at energies lower than 0.475GeV. Cause: Unknown whether excess events were from photon or electron sources. This is because MiniBooNE cannot distinguish between electrons or photons. Conclusion: We need a new detector. Phys. Rev. Lett.102, 2009 Does not fit oscillation signature. 7
MicroBooNE: Overview MicroBooNE is a liquid argon time projection chamber (LArTPC) filled with approximately 170 tons of liquid argon. Location: Along the Booster neutrino beam line at Fermilab. Highlight 1: The experiment will dig deeper into the unexpected excess of low energy neutrino events observed in MiniBooNE. Highlight 2: Ability to distinguish between electrons and photons. Highlight 3: MicroBooNE s sensitivity to ν e is about twice as good as MiniBooNE s. Highlight 4: Sensitivity to energies down to tens of MeV. MiniBooNE s ~200MeV. TPC 8
MicroBooNE: The TPC In the TPC: 70 tons of fiducial volume of LAr. Has three wire planes. ~2.6m drift with an electric field of 500 V/cm. What are the advantages of having LAr in the TPC? It measures the de/dx (ionization energy loss of each particle in the liquid argon) for each event. Basically, we map out the tracks. This allows us the ability to measure particle mass. Heavier/slower particles have larger de/dx. Ability to distinguish between electron-positron pairs and photons. How does it work? Interaction leaves a track. Track ionizes argon, producing a positive ion and an electron, argon emits light. Electrons drift towards anode, where they will hit the wires. From this plus other known quantities, we can easily calculate the length of travel of each electron. 9
MicroBooNE: The Cryostat and the PMTs There is a Photomultiplier tube (PMT) rack inside the cryostat, and it contains 30 8 PMTs which face the TPC. Because electrons take a long time to drift, we use an instantaneous light signal to tell whether an event has taken place. Each PMT has a signal cable ranging from 13-21m long, and exit the cryostat through Nozzle 16. Question: Does length cable matter? 10
What is a PMT? A PMT is a vacuum tube detector of light that provides extremely high sensitivity and very fast response. So how does it work? A high voltage is applied to the cathode, dynodes, and anode. This causes a potential ladder to be set up along the length of the system (cathode-dynode-anode). When light enters the photocathode, photoelectrons are emitted into the vacuum tube via the photoelectric effect. Due to the high voltage, the electron is directed and accelerated towards the first dynode. When it strikes that first dynode, secondary electrons are emitted and accelerated towards the next dynode, and so on, creating an electron cascade. At the anode, this cascade is collected to give a current, and thus can be analyzed. 11
PMT Setup at Nevis Varied length LED Brightness control 12
PMT Setup at Nevis 13
Signal Cable Tests Two cables tested, a short 1 meter, and a longer 16 meter one. Using an LED light source, I gave a small amount of light to the PMT. Using the short cable, I let it emit light for 5 minutes. I recorded the area of the raw signal of the PMT seen on the scope. I repeated this, using the longer cable. I then repeated this procedure for several voltage levels. So does the length variation change the signal readout? 14
Results Originally expected that IF variation was seen, then the shorter cable would have returned larger area. 15
Results This is the percentage difference between the two cables. Overall conclusion: The two cable lengths yield the same signal to within ~5%. 16
Simulation Studies: LArSoft I also did some software work using a simulation software package called LArSoft. What is LArSoft? It is a simulation framework for LArTPC detectors (such as MicroBooNE). Given some detector geometry, It allows us to simulate events as well as to study them. Goal: Overall help us learn as much as we can before MicroBooNE starts up in 2013. 17
A Little Background on Baryon Disappearance Ultimate goal: To study proton decay. This phenomenon has never yet been observed. Probably will not be observed for a long time (Most likely not with MicroBooNE). But we hope to see events that mimic these signals in MicroBooNE that will allow us to develop a better understanding of what to expect to see. Protons do not decay because they are the lightest baryon, therefore they have an extremely long lifetime (stable in the S.M.). Several modes of decay have been predicted by beyond S.M. theories, such as: p K + + νμ Another decay mode of interest: n oscillation into n. The n then will annihilate into a nearby nucleon, resulting in either: nn annihilation or np annihilation. In both decay modes, there is the similarity in that there is a disappearance of a baryon. So how can we study this with LArSoft? 18
Antiproton Generation Ideally, we want to generate an anti neutron and study its interaction in MicroBooNE. Instead: Antiproton events generated. Why? Data from CERN on pp Annihilation. This data is good for cross-checks. n event studies should be very similar. 19
LArSoft: Event Display Vertex This is an Antiproton event. (This is the vertical wire plane) It displays the tracks created by the particles that ionized the liquid argon. The colors seen is the amount of ionization energy that is deposited by the particles. The horizontal axis is the length of the detector, and each tick mark corresponds to each wire in the wire plane. The vertical axis are time ticks, so the lower the part of a track is, the closer the track is to the wire plane. 20
The Interaction The p is essentially at rest initially. It interacts with an Argon nucleus. It annihilates with a nucleon. The Argon nucleus becomes unstable. It breaks up, giving rise to many particles. Interested in studying this interaction. 21
Cross Checks Pion Multiplicity Momentum Conservation Energy Conservation 22
Cross Checks Crystal Barrel experiment at CERN: 5 pion daughters. 500 antiproton events using LArSoft: Mean of ~5 pion daughters. Rev. Mod. Phys., Vol. 70, No. 4, Oct. 1998 23
Cross Checks Pion Multiplicity Momentum Conservation Energy Conservation 24
Number of Cross Checks Momentum of p initially zero. Momentum summation of all daughters after interaction essentially zero. 25
Cross Checks Pion Multiplicity Momentum Conservation Energy Conservation 26
Cross Checks Total energy (minus mass of observer nucleons/ nuclear particles) before the interaction: 1876MeV. (Mass of p + p.) Total energy after: ~1717MeV. Missing energy: Binding energy of Argon - Energy is spent to break up the argon nucleus. *Note that there are never any events with an energy sum greater than 1876MeV. 27
Cross Checks Pion Multiplicity Momentum Conservation Energy Conservation 28
Background Neutrino Events It is essential that we try to study and understand background events, such as those from background neutrinos, so that we can learn how to reject them. Some of the neutral current neutrino events can mimic those of the antiproton ones. I generated 500 mono-energetic neutrino events to compare with the p events (about 150 of those events were NC) 29
LArSoft: Event Display Two Neutrino Events: Event display: Two neutral current neutrino events. First event: This is a common NC event with a recoil proton. These events can be easily rejected since we will never see this in an antiproton event. Second event: These events are what we have to worry about, they can mimic events we would expect to see due to an pp annihilation. 30
Key Differences: p vs. ν p is generated essentially at rest Momentum is zero. Momentum sum of all daughters should add up to zero. The center of gravity position should be close to the vertex. The neutrino has some incoming momentum. Momentum sum of all daughters zero. Center of gravity position should be displaced. 31
p vs ν: Momentum 32
p vs. ν: Center of Gravity - Vertex This seems like a good variable for differentiating p annihilations from NC neutrino events, assuming we can reconstruct the vertex of the event well enough. 33
p vs. ν: Center of Gravity - Vertex 34
Future Work Reconstruction of antiproton events. Study of antineutron events. Study of background neutrinos with the atmospheric spectrum 35
Acknowledgements Georgia Karagiorgi, my mentor. Leslie Camilleri Bill Seligman Mike Shaevitz John Parsons Everyone in the MicroBooNE collaboration Everyone one else at Nevis 36
37
Neutrino Oscillations: Mass Hierarchy Three neutrino mass states can exist. The squared mass difference between the lightest two mass states is the cause behind solar neutrino oscillation. The squared mass difference between the heavier two is the cause of atmospheric neutrino oscillation. The mixing between the heaviest mass state with the lightest is currently unknown. The Oscillation probability is given by: P αβ t = sin 2 2θ sin 1.27 α, β = Neutrino flavor Δm 2 = m i 2 m j 2 θ is the mixing angle. L E Δm 2 L is the difference between production and observation. E is the energy. 38
Neutrino Oscillations: CP Violation Looking back at our matrix equation: U = cos θ 12 sin θ 12 0 sin θ 12 cos θ 12 0 0 0 1 cos θ 13 0 e iδ CP sin θ 13 0 1 0 e iδ CP sin θ 13 0 cos θ 13 1 0 0 0 cos θ 23 sin θ 23 0 sin θ 23 cos θ 23 U is the product of three rotations corresponding to neutrino oscillations. δ is the phase. Take the complex conjugate of this matrix, get U. This is the equation of rotations for antineutrino oscillations. As long as δ 0,, then U U This implies that oscillation behavior for neutrinos vs. antineutrinos are not the same. This is CP violation, and it is the phase in the mixing matrix that causes this. 39
MicroBooNE: The TPC How does the TPC work? Interaction leaves a track. Track ionizes argon, producing a positive ion and an electron. Argon emits light. Light signal immediately picked up by PMTs. This is t 0. PMT records scintillation light emitted by the charged particles. Electrons from ionization drift towards anode, where they will hit the wires. This time is recorded, t ion Using t 0 and t ion, and the fact that we know drift speed, we can calculate the drift distance. (drift time = t ion = t 0 ). l = Δt v drift Length important because it can tell us if the track went in a straight line or if it was slanted. 40
PMT Setup at Nevis Using this setup, I have studied signal attenuation in the PMT signal cable. I tested two cable lengths. What was the purpose? To check if variation of the cable length affects the signal. Why do we need to worry about lengths? 30 PMTs, several cables, one exit. Goal: To confirm that the signal variation is either negligible or if it is well known so it can be corrected. 41
What is a Voxel? A voxel is a 3D pixel that contains the energy deposited by the particles that ionize the liquid argon. The voxels are what drift the electrons to the wires on each plane. 42